Steven Ricardo Villeda Marroquín

User: Steven Ricardo Villeda Marroquín

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Steven Ricardo Villeda Marroquín has authored 2 sequences.

A327555 Decimal expansion of number with continued fraction expansion [1; 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, ...].

1, 3, 5, 3, 3, 8, 9, 2, 3, 4, 1, 1, 7, 6, 7, 5, 8, 4, 1, 9, 3, 5, 7, 0, 8, 9, 0, 5, 7, 6, 0, 4, 8, 7, 2, 7, 2, 2, 0, 0, 5, 0, 7, 5, 8, 4, 3, 3, 1, 5, 8, 4, 3, 6, 9, 4, 1, 2, 5, 2, 5, 4, 5, 6, 6, 1, 2, 2, 3, 8, 4, 2, 2, 7, 4, 1, 8, 0

Offset: 1

Steven Ricardo Villeda Marroquín, Sep 16 2019

The continued fraction with even numbers and 1 alternated in opposition to A049471, that is, tan(1): [1; 1, 1, 3, 1, 5, 1, 7, 1, 9, 1, ...].

			1.353389234117675841935...

Cf. A049471, A093178.

N[FromContinuedFraction[Flatten[Table[{1, 2*k}, {k, 1, 100}]]], 100] (* Vaclav Kotesovec, Nov 08 2019 *)

A327558 Decimal expansion of Sum_{k>=1} 1/F(k)! where F(k) = A000045(k).

Original entry on oeis.org

2, 6, 7, 5, 0, 2, 4, 8, 0, 1, 7, 4, 7, 8, 9, 2, 0, 2, 5, 6, 8, 9, 3, 7, 6, 3, 8, 8, 6, 4, 4, 6, 1, 6, 6, 2, 0, 2, 3, 7, 3, 7, 1, 5, 1, 2, 8, 2, 3, 5, 8, 5, 2, 8, 4, 5, 3, 8, 9, 8, 9, 0, 2, 3, 7, 7, 1, 2, 7, 7, 2, 0, 8, 4, 6, 9, 3, 4, 6, 2, 0, 8, 9, 9, 0, 9, 1, 0, 9, 6, 9, 5, 8, 2, 5, 1, 0, 7, 2, 0, 5, 8, 7, 0, 8, 2, 0, 2, 9, 8, 9, 0, 3, 5

Offset: 1

Steven Ricardo Villeda Marroquín, Sep 16 2019

			2.6750248017478920256893763886446166202373715128...

Math Stackexchange, Is the sum of the inverses of the factorials of Fibonacci numbers transcendental?, Jan 10 2021.

Cf. A000045, A079586, A084119, A105393.

suminf(n=1, 1/fibonacci(n)!) \\ Michel Marcus, Sep 20 2019

cp's OEIS Frontend

User: Steven Ricardo Villeda Marroquín

A327555 Decimal expansion of number with continued fraction expansion [1; 2, 1, 4, 1, 6, 1, 8, 1, 10, 1, ...].

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